A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 2x + 4z = 1
Which of the following is a possible step used in eliminating the z-term?
Multiply equation B by 4.
Multiply equation A by 2.
Multiply equation A by –4.
Multiply equation B by 2.
Answers
Multiply equation A by –4.
=>-4x-4z=-24
2x+4z=1
------------------
-2x=-23
x=23/2
Answer:
To eliminate the z-term, you need to multiply equation A by -4.
Step-by-step explanation:
Related Questions
PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
The square root of 80 p to the 3rd
Select the proper order from least to greatest for 1/2, 5/6, 2/7, 4/2?
Write the number 28.75 to the nearest whole number
Answers
The number in standard notation is 0.000643.
In scientific notation, numbers are expressed in the form of , where a is a decimal number between 1 and 10 (inclusive), and b is an integer that represents the power of 10 by which a is multiplied.
For the number :
The decimal number a is 6.43. It is greater than or equal to 1 but less than 10, as it falls within the range [1, 10).
In this case, a is 6.43.
The exponent b is -4.
This indicates that the decimal number a is multiplied by 10 raised to the power of -4.
To calculate the value of the number in standardnotation, we perform the multiplication:
Now, we can simplify the multiplication:
6.43 × 0.0001 = 0.000643
Hence, the number in standard notation is 0.000643.
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G
C
E
B.
Answers
Answer:
16
Step-by-step explanation:
Answers
3. 0.1778, -0.1778 Are you sure that you don't mean the fourth root of 0.0001?That would be 0.1, -0.1
What is the average decrease in value per year between years 1 and 2?
Answers
Given the function f(x) = 10000(0.73)^x
Where y is The value of a boat, in dollars, x years after its purchaseat x = 1
f(1) = 10000(0.73)^1
f(1) = $7300
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329
so the decrease
D = $7300 - $ 5329
D = $ 1971
Answer:
The correct answer is $1971.
I just took the test and got it right.
Prove ΔNKJ ≅ ΔMLK
Statements Reasons
1. JK≅KL,NK≅KM 1. Given
2.
3. ΔNKJ ≅ ΔMLK 3.________
ANSWER CHOICES
a. reflexive property of ≅ ; SAS
b. reflexive property of ≅ ; ASA
c. vertical angles are congruent; ASA
d. vertical angles are congruent; SAS
Answers
Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given: ,
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1. ,
Given
2. Vertical angles are congruent
3. SAS
x - 5y = 15 2x + y = 12
c) 3x - 4y = 22
2x + 5y = 7
Answers
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
x - 5y = 15
multiplier equation 1 by 5
15x+5y=65
DSA
15x+5y=65
x - 5y = 15
remaining
16x=80
x=5
5-5y=15
-5y=15-5
-5y=10
y=10 ÷ -5
y=-2
x,y
5,-2